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Simplifying 3.5(x + 6) = 19 + 4x Reorder the terms: 3.5(6 + x) = 19 + 4x (6 * 3.5 + x * 3.5) = 19 + 4x (21 + 3.5x) = 19 + 4x Solving 21 + 3.5x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 3.5x + -4x = 19 + 4x + -4x Combine like terms: 3.5x + -4x = -0.5x 21 + -0.5x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -0.5x = 19 + 0 21 + -0.5x = 19 Add '-21' to each side of the equation. 21 + -21 + -0.5x = 19 + -21 Combine like terms: 21 + -21 = 0 0 + -0.5x = 19 + -21 -0.5x = 19 + -21 Combine like terms: 19 + -21 = -2 -0.5x = -2 Divide each side by '-0.5'. x = 4 Simplifying x = 4
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